142.42 is what percent of 2296.95 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 2296.95 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 2296.95, so we can write it down as 100%=2296.95.
4. We know, that x% equals 142.42 of the output value, so we can write it down as x%=142.42.
5. Now we have two simple equations:
1) 100%=2296.95
2) x%=142.42
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=2296.95/142.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 142.42 is what percent of 2296.95

100%/x%=2296.95/142.42
(100/x)*x=(2296.95/142.42)*x       - we multiply both sides of the equation by x
100=16.128001685157*x       - we divide both sides of the equation by (16.128001685157) to get x
100/16.128001685157=x
6.2003961775398=x
x=6.2003961775398

now we have:
142.42 is 6.2003961775398% of 2296.95